Path description of type B q-characters

Abstract

We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.

32 pages, latex

References in corpus (3)

• On minimal affinizations of representations of quantum groups
• Extended T-systems
• Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_n

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• On the primality of totally ordered $q$-factorization graphs
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• On Tensor Products of a Minimal Affinization with an Extreme Kirillov-Reshetikhin Module for type A
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• On the minimal affinizations over the quantum affine algebras of type $C_n$